Asked by Alecia
A realty company has 100 homes listed for sale. Some of these homes have fireplaces, some have garages, and some have neither. A breakdown is provided in the two-way classification table below.
Fireplace No Fireplace
Garage 50 30
No Garage 10 10
what is the probability that the home selected has a garage, given that it has a fireplace?
b. Are the events Fireplace and Garage independent? Show your proof.
2 marks c. Are the events F and G mutually exclusive? Why?
Fireplace No Fireplace
Garage 50 30
No Garage 10 10
what is the probability that the home selected has a garage, given that it has a fireplace?
b. Are the events Fireplace and Garage independent? Show your proof.
2 marks c. Are the events F and G mutually exclusive? Why?
Answers
Answered by
Bennet
P(G and F)= P(G) P(F/G) =(80/100)(50/80)=0.8x0.625=0.5. a)They are not independent because the probabilities are not equal. P(F)= 60/100=.6, P(F/G)=60/80=0.75
b)Events F and G can occur together because they are not mutually exclusive.
b)Events F and G can occur together because they are not mutually exclusive.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.